Of the 183 Tasker records for Kent on the IGI, the earliest are:

Robert Tasker, marrying Sarah Smart on 7 November 1603 at Dartford,
William Tasker, christened as son of John on 12 December 1619 at Shoreham,
Alice Tasker marrying Christopher Gardiner on 1 November 1626 at Offham,
Lydia Tasker, christened as daughter of John and Sarah on 22 April 1632 at Otford,
Margaret, christened as daughter of John Tasker and Mary Pierson on 25 March 1638 at Brenchley.

Although all these locations are broadly in the same part of Kent, there is nothing as yet to bind them together. After 1650 there is a rich seam of Taskers through the late 1600s, 1700s and 1800s, that currently all need to be resolved...